Problem solving strategies in mathematics and computer scienceUT, San Antonio
This presentation was placed on a course project of reading course in the university of texas, san Antonio. This is a group project and the project lead was Lishu Li
Pedagogy of Mathematics (Part II) - Algebra, Algebra, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, solving by cross multiplication method
Problem solving strategies in mathematics and computer scienceUT, San Antonio
This presentation was placed on a course project of reading course in the university of texas, san Antonio. This is a group project and the project lead was Lishu Li
Pedagogy of Mathematics (Part II) - Algebra, Algebra, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, solving by cross multiplication method
Question 1 1. With CPM, we are able to calculate the probabi.docxIRESH3
Question 1
1.
With CPM, we are able to calculate the probability of finishing the project within a specified time.
Answer
True
False
2 points
Question 2
1.
In CPM, crashing an activity that is not on the critical path increases the cost of the project.
Answer
True
False
2 points
Question 3
1.
Gantt charts and PERT diagrams provide the same information, just in different formats.
Answer
True
False
2 points
Question 4
1.
One PERT/COST assumption is that money is spent at a constant rate over the time taken to complete an activity.
Answer
True
False
2 points
Question 5
1.
Your company is considering submitting a bid on a major project. You determine that the expected completion time is 100 weeks and the standard deviation is 10 weeks. It is assumed that the normal distribution applies. You wish to set the due date for the project such that there is an 85 percent chance that the project will be finished by this time. What due date should be set?
Answer
108.0
110.4
89.6
85.0
100
2 points
Question 6
1.
Given an activity's optimistic, most likely, and pessimistic time estimates of 3, 5, and 13 days respectively, compute the expected time for this activity.
Answer
3
4
5
6
None of these
2 points
Question 7
1.
The optimistic time is the greatest amount of time that could be required to complete an activity.
Answer
True
False
2 points
Question 8
1.
Which of the following is not a decision variable when formulating the project crashing problem as a linear program?
Answer
the early finish times of critical activities
the early finish times of non critical activities
the start time of the project
the finish time of the project
the early start times of all activities
2 points
Question 9
1.
Table 12-1
The following represents a project with know activity times. All times are in weeks.
Using the data in Table 12-1, what is the latest possible time that C may be started without delaying completion of the project?
Answer
0
4
8
10
None of these
2 points
Question 10
1.
PERT stands for Probabilistic Evaluation and Review Technique.
Answer
True
False
2 points
Question 11
1.
Table 12-2
The following represents a project with four activities. All times are in weeks.
According to Table 12-2, there are four activities in the project. Assume the normal distribution is appropriate to use to determine the probability of finishing by a particular time. What is the probability that the project is finished in 16 weeks or fewer? (Round to two decimals.)
Answer
0.07
0.93
0.43
0.77
None of these
2 points
Question 12
1.
Table 12-5
How long could Table 12-5's activity E be delayed without delaying the completion of the project?
Answer
7
16
11
18
None of these
2 points
Question 13
1.
PERT stands for ________.
Answer
probabilistic evaluation and review technique
program evaluation and review technique ...
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Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
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Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
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It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Normal Labour/ Stages of Labour/ Mechanism of LabourWasim Ak
Normal labor is also termed spontaneous labor, defined as the natural physiological process through which the fetus, placenta, and membranes are expelled from the uterus through the birth canal at term (37 to 42 weeks
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
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June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
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Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
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• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
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Question 1: Rounding non-integer solution values up to the
nearest integer value will result in an infeasible solution to an
integer linear programming problem.
Question 2: The solution to the LP relaxation of a maximization
integer linear program provides an upper bound for the value
of the objective function.
Question 3: If we are solving a 0-1 integer programming
problem with three decision variables, the constraint x1 + x2 ≤
1 is a mutually exclusive constraint.
Question 4: A conditional constraint specifies the conditions
under which variables are integers or real variables.
Question 5: If we are solving a 0-1 integer programming
problem with three decision variables, the constraint x1 + x2 +
x3 ≤ 3 is a mutually exclusive constraint.
Question 6: If exactly 3 projects are to be selected from a set of
5 projects, this would be written as 3 separate constraints in an
integer program.
Question 7: The Wiethoff Company has a contract to produce
10000 garden hoses for a customer. Wiethoff has 4 different
machines that can produce this kind of hose. Because these
machines are from different manufacturers and use differing
technologies, their specifications are not the same.
2. Write the constraint that indicates they can purchase no more
than 3 machines.
Question 8: In a 0-1 integer programming model, if the
constraint x1-x2 = 0, it means when project 1 is selected,
project 2 __________ be selected.
Question 9: Assume that we are using 0-1 integer programming
model to solve a capital budgeting problem and xj = 1 if project
j is selected and xj = 0, otherwise.
The constraint (x1 + x2 + x3 + x4 ≤ 2) means that __________ out of
the 4 projects must be selected.
Question 10: If we are solving a 0-1 integer programming
problem, the constraint x1 + x2 ≤ 1 is a __________ constraint.
Question 11: If we are solving a 0-1 integer programming
problem, the constraint x1 = x2 is a __________ constraint.
Question 12: If the solution values of a linear program are
rounded in order to obtain an integer solution, the solution is
Question 13: If we are solving a 0-1 integer programming
problem, the constraint x1 + x2 = 1 is a __________ constraint.
Question 14: If we are solving a 0-1 integer programming
problem, the constraint x1 ≤ x2 is a __________ constraint.
Question 15: Binary variables are
Question 16: In a 0-1 integer programming model, if the
constraint x1-x2 ≤ 0, it means when project 2 is selected,
project 1 __________ be selected.
Question 17: The solution to the linear programming relaxation
of a minimization problem will always be __________ the value of
the integer programming minimization problem.
Question 18: In a __________ integer model, some solution values
for decision variables are integers and others can be non-
integer.
Question 19: Max Z = 3x1 + 5x2
Subject to: 7x1 + 12x2 ≤ 136
3x1 + 5x2 ≤ 36
x1, x2 ≥ 0 and integer
3. Find the optimal solution. What is the value of the objective
function at the optimal solution. Note: The answer will be an
integer. Please give your answer as an integer without any
decimal point. For example, 25.0 (twenty-five) would be
written 25
Question 20: Consider the following integer linear
programming problem
Max Z = 3x1 + 2x2
Subject to: 3x1 + 5x2 ≤ 30
5x1 + 2x2 ≤ 28
x1 ≤ 8
x1 ,x2 ≥ 0 and integer
Find the optimal solution. What is the value of the objective
function at the optimal solution. Note: The answer will be an
integer. Please give your answer as an integer without any
decimal point. For example, 25.0 (twenty-five) would be
written 25